SOLUTION: {{{sqrt(3x+10)=x+2}}}

Algebra.Com

Question 684758:
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!

Square both sides to "undo" the square root, since they are inverse operations.
...

3x+10 = (x+2)^2

(x+3)(x-2) = 0
x+3 = 0
x = -3
AND
x-2=0
x = 2
...

...

-3 + 2 = -1

x = -3 is not a solution

2+2 = 4

x = 2 is a solution
.....................
Have more questions?
Email: HomeworkHelpers@readingboosters.com
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.

RELATED QUESTIONS
sqrt(5) * sqrt(10) * sqrt(x^2)... (answered by jim_thompson5910,mananth)

find an equation of the line that bisects the obtuse angles formed by the lines with... (answered by solver91311)

sqrt(x+2) + sqrt(3x+4) =... (answered by gonzo)

{{{ sqrt( x+7 )+sqrt ( 3x-2 ) =5... (answered by Alan3354,MathLover1)

sqrt(4-3x)-2= sqrt... (answered by mananth)

{{{ sqrt(3X-2)=4-x... (answered by checkley71)

f(x)=sqrt(3x+2) (answered by jim_thompson5910)

\sqrt{10-x} +... (answered by jim_thompson5910)

find the domain of... (answered by robertb)